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Simplifying x(5x + -3) = (5x + 8)(x + -3) Reorder the terms: x(-3 + 5x) = (5x + 8)(x + -3) (-3 * x + 5x * x) = (5x + 8)(x + -3) (-3x + 5x2) = (5x + 8)(x + -3) Reorder the terms: -3x + 5x2 = (8 + 5x)(x + -3) Reorder the terms: -3x + 5x2 = (8 + 5x)(-3 + x) Multiply (8 + 5x) * (-3 + x) -3x + 5x2 = (8(-3 + x) + 5x * (-3 + x)) -3x + 5x2 = ((-3 * 8 + x * 8) + 5x * (-3 + x)) -3x + 5x2 = ((-24 + 8x) + 5x * (-3 + x)) -3x + 5x2 = (-24 + 8x + (-3 * 5x + x * 5x)) -3x + 5x2 = (-24 + 8x + (-15x + 5x2)) Combine like terms: 8x + -15x = -7x -3x + 5x2 = (-24 + -7x + 5x2) Add '-5x2' to each side of the equation. -3x + 5x2 + -5x2 = -24 + -7x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -3x + 0 = -24 + -7x + 5x2 + -5x2 -3x = -24 + -7x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -3x = -24 + -7x + 0 -3x = -24 + -7x Solving -3x = -24 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -3x + 7x = -24 + -7x + 7x Combine like terms: -3x + 7x = 4x 4x = -24 + -7x + 7x Combine like terms: -7x + 7x = 0 4x = -24 + 0 4x = -24 Divide each side by '4'. x = -6 Simplifying x = -6
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